Question

Amil, sumit and vinit divide an amount of rs. 2,800 amongst themselves in the ratio of 5 : 6 : 3 respectively. If an amount of rs. 200 is added to each of their shares, what will be the new respective ratio of their shares of the amount?

Answer 1

GIVEN

Total Money = Rs.2800

It got divided in ratio 5:6:3

If Rs.200 added to each Share

TO FIND

Their New Ratio

SOLUTION

Let Amil got Rs.5x

Sumit got Rs.6x

and Vinit got Rs.3x

Their Sum is Rs.2800

=> 5x + 6x + 3x = 2800

=> 14x = 2800

=> x = 2800 ÷ 14

=> x = 200

Hence the money they got is

5x = 5 × 200 = Rs.1000 [Amil]

6x = 6 × 200 = Rs.1200 [Sumit]

3x = 3 × 200 = Rs. 600 [Vinit]

The new money they will get is :-

Amil = 1000 + 200 = Rs.1200

Sumit = 1200 + 200 = Rs.1400

Vinit = 600 + 200 = Rs.800

New Ratio = 1200:1400:800

= 12:14:8

=6:7:4 (ANS)

Answer 2

$\large{\underline{\underline{\mathfrak{\bf{\:QUESTION:-}}}}}$

• Amil, sumit and vinit divide an amount of rs. 2,800 amongst themselves in the ratio of 5 : 6 : 3 respectively. If an amount of rs. 200 is added to each of their shares, what will be the new respective ratio of their shares of the amount?

_____________________

$\red{\:Given\:Here\begin{cases} 2800 & \text{Total Amount } \\ 5:6:3 & \text{ Ratio of their Amount } \\ 200 & \text{ add in their Amount } \end {cases}}[/text]</p><p></p><p></p><p></p><p></p><p></p><p>[tex]\large{\underline{\underline{\mathfrak{\bf{\:SOLUTION:-}}}}}$

• Amount of Amil = 5x

• Amount of Sumit = 6x

• Amount of Vinit = 3x

Total Amount will be

$\leadsto\boxed{\:(5x+6x+3x)\:=\:2800}$

$\leadsto{\:14x\:=\:2800}$

$\leadsto{\:x\:=\frac{2800}{14}}$

$\leadsto{\:x\:=\:200}$

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So, Amount Will be of Amil, Sumit, Vinit :-

• Amount of Amil = 5x = 5 × 200 = 1000

• Amount of Sumit= 6x = 6 × 200 = 1200

• Amount of Vinit = 3x = 3 × 200 = 600

______________________

Now, Addition 200 of all amount

• New Amount Of Amil = 1000+200 = ₹ 1200

• New Amount Of Sumit = 1200+200= ₹1400

• New Amount of Vinit = 800+200 = ₹ 1000

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$\bold{\red{\underline{\underline{\:RATIO\:OF\:THEIR\:AGES:-}}}}$

• 1200 : 1400 : 1000

$\bold\green{\boxed{\boxed{\:Ratio\:=\:(6:7:4)}}}$

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